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Byju's Answer
Standard VIII
Mathematics
Factorisation Using Algebraic Identities
In a right an...
Question
In a right angled triangle, hypotenuse is the longest side. State True/false.
A
True
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B
False
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Solution
The correct option is
A
True
According to Pythagoras theorem,
h
2
=
a
2
+
b
2
(h=hypotenuse, a and b are the perpendicular sides)
⟹
h
2
>
a
2
⟹
h
>
a
also
⟹
h
2
>
b
2
⟹
h
>
b
So, hypotenuse is the longest side.
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Prove that in a right angled triangle, hypotenuse is the longest side.
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In a right-angled triangle, prove that the hypotenuse is the longest side.